Estrada, Ernesto and Higham, Desmond J. and Hatano, Naomichi (2008) Communicability and multipartite structures in complex networks at negative absolute temperatures. Physical Review E, 78 (2). ISSN 1539-3755Full text not available in this repository. (Request a copy from the Strathclyde author)
We here present a method of clearly identifying multipartite subgraphs in a network. The method is based on a recently introduced concept of the communicability, which very clearly identifies communities in a complex network. We here show that, while the communicability at a positive temperature is useful in identifying communities, the communicability at a negative temperature is useful in identifying multipartite subgraphs; the latter quantity between two nodes is positive when the two nodes belong to the same subgraph and is negative when they do not. The method is able to discover 'almost' multipartite structures, where intercommunity connections vastly outweigh intracommunity connections. We illustrate the relevance of this work to real-life food web and protein-protein interaction networks.
|Keywords:||multipartite structures, multipartite subgraphs, negative absolute temperatures, communicability, Mathematics, Statistical and Nonlinear Physics, Statistics and Probability, Condensed Matter Physics|
|Subjects:||Science > Mathematics|
|Department:||Faculty of Science > Mathematics and Statistics|
|Depositing user:||Mrs Irene Spencer|
|Date Deposited:||28 Jan 2010 13:08|
|Last modified:||22 Mar 2017 10:20|